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Finding the Fourth Proportional to 4,997.49, 7,497.04 and 1,877.74

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Solution

The fourth proportional to 4,997.49, 7,497.04 and 1,877.74 is: 2,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.49 : 7,497.04 = 1,877.74 : x
  2. Step 2: Convert to fraction form
    4,997.49/7,497.04 = 1,877.74/x
  3. Step 3: Cross multiply
    4,997.49x = 7,497.04 × 1,877.74
  4. Step 4: Simplify right side
    4,997.49x = 14,077,491.89
  5. Step 5: Solve for x
    x = 14,077,491.89/4,997.49
  6. Step 6: Final answer
    x = 2,816.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.